65 citations
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Showing 2019Show all
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math.GN2019
Cayley Graphs on Billiard Surfaces, and Their Genus
Jason Schmurr, Jaime Lynne McCartney, Joanna Grzegrzolka
In this article we discuss a connection between two famous constructions in mathematics: a Cayley graph of a group and a (rational) billiard surface. For each rational billiard sur…
math.CO2019★ 2 cited
Minimum Coprime Labelings of Generalized Petersen and Prism Graphs
John Asplund, N. Bradley Fox
A coprime labeling of a graph of order is an assignment of distinct positive integer labels in which adjacent vertices have relatively prime labels. Restricting labels to only…